Here is the full list of all 48 LEGO The Lord of the Rings achievements. It takes around 30-35 hours to unlock all of the achievements on Windows.
Complete 'The Mines of Moria' in under 15 minutes.
Defeat an Oliphaunt as Legolas.
During 'Prologue', jump into the fires of Mount Doom as Isildur.
Complete a level in co-op.
Unlock all the Map Stones in Middle-earth. (Single Player Only)
Get 100%. (Single Player Only)
Unlock all characters. (Single Player Only)
Complete the Bonus Level.
Craft every Mithril item. (Single Player Only)
Collect all the Mithril Bricks. (Single Player Only)
Turn an enemy into a skeleton and make them dance.
Dress a character completely in treasure items.
Travel to Trollshaws as Bilbo.
Travel to Isengard as every playable Hobbit.
Equip Aragorn with the Mushroom Crown.
Use the Ent Draught on Pippin.
Defeat Gollum as Gollum.
Collect all the Red Bricks. (Single Player Only)
Complete all the Fetch Quests in Middle-earth. (Single Player Only)
Fish perfectly 20 times by pressing the icon as it flashes.
Craft the Fire and Ice Bows. (Single Player Only)
Collect more than 10,000,000,000 studs. (Single Player Only)
Achieve True Adventurer in every level. (Single Player Only)
Defeat 42 Uruk-hai as Legolas.
Reach the top of Amon Hen without being caught once by Boromir. (Single Player Only)
Throw Gimli 30 times.
Walk into Mordor.
Complete 2 cooking puzzles.
Complete 'Mount Doom'.
Complete 'The Black Gate'.
Complete 'The Battle of Pelennor Fields'.
Complete 'The Paths of the Dead'.
Complete 'Cirith Ungol'.
Complete 'The Secret Stairs'.
Complete 'Osgiliath'.
Complete 'Helm's Deep'.
Finish one of Gimli's opponents as Legolas in 'Helm's Deep'.
Complete 'Warg Attack'.
Complete 'Track Hobbits'.
Complete 'The Dead Marshes'.
Complete 'Taming Gollum'.
Complete 'Amon Hen'.
Complete 'The Mines of Moria'.
Complete 'The Pass of Caradhras'.
Form The Fellowship of the Ring.
Complete 'Weathertop'.
Complete 'The Black Rider'.
Complete 'Prologue'.